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Finding the Fourth Proportional to 1,277.52, 1,914.36 and 762.96

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Solution

The fourth proportional to 1,277.52, 1,914.36 and 762.96 is: 1,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.52 : 1,914.36 = 762.96 : x
  2. Step 2: Convert to fraction form
    1,277.52/1,914.36 = 762.96/x
  3. Step 3: Cross multiply
    1,277.52x = 1,914.36 × 762.96
  4. Step 4: Simplify right side
    1,277.52x = 1,460,580.11
  5. Step 5: Solve for x
    x = 1,460,580.11/1,277.52
  6. Step 6: Final answer
    x = 1,143.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.